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Classification of positive solutions for an elliptic system with a higher-order fractional Laplacian

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Publication:1951194
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DOI10.2140/pjm.2013.261.311zbMath1270.35225OpenAlexW2147743020MaRDI QIDQ1951194

Chang-Zheng Qu, Jingbo Dou

Publication date: 29 May 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.org/pjm/2013/261-2/p03.xhtml

zbMATH Keywords

regularitysystem of integral equationsclassification of solutionsmoving plane method in integral form


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) Systems of nonlinear integral equations (45G15) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09) Higher-order elliptic systems (35J48)


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Liouville theorems for an integral system with Poisson kernel on the upper half space, Classification of solutions to higher fractional order systems, On solutions for strongly coupled critical elliptic systems on compact Riemannian manifolds, Liouville type theorems for a system of integral equations on upper half space, Classification of solutions for an integral system with negative exponents, Symmetry and nonexistence results for a fractional Hénon-Hardy system on a half-space



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